Lungs as a Natural Porous Media: Architecture, Airflow Characteristics and Transport of Suspended Particles

Miguel, António F.

doi:10.1007/978-3-642-21966-5_5

Cited by 21 publications

(24 citation statements)

References 35 publications

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“…In a human lung, there are approximately 300 million alveolar sacs of about 0.3 mm in diameter each [50]. New aspects of therapy, diagnostic, analysis, and treatment require an exact knowledge of these media [51].…”

Section: Human Lungsmentioning

confidence: 99%

Saturated porous continua in the frame of hybrid description

Brazgina

Иванова

2016

Continuum Mech. Thermodyn.

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A method for modeling fluid-solid interactions in saturated porous media is proposed. The main challenge is the combination of the material and spatial descriptions. The deformation of the solid, which serves as a "container" to the fluid, is studied by following the motion of its material particles, i.e., in Lagrangian description. On the other hand, the motion of the fluid is described in spatial form, i.e., by using a Eulerian approach. However, the solid deforms and this implies a certain difference regarding the standard formulation used in spatial description of fluid mechanics where a fixed grid dissects space into elementary volumes. Here the grid is no longer fixed, and the elementary volumes will follow the deformation of the solid. Moreover, for the solid as well as for the fluid the balance equations are formulated in the current configuration, where interaction forces and couples are taken into account. By using Zhilin's approach, entropy and temperature are incorporated in the system of equations. Constitutive equations are constructed for both elastic and inelastic components of force and couple stress tensors and interaction force and couple. The constitutive equations for elastic components are found on the basis of the energy balance equation; the constitutive equations for the inelastic components are proposed in accordance with the second law of thermodynamics. Particular emphasis is placed on the constitutive equations of the interaction force and couple, which result in a symmetric form only because of the "hybrid" approach combining the Lagrangian with the Eulerian description. Three possible examples of application of the theory have been presented. For each example, all required assumptions were first stated and discussed and then the complete set of the corresponding equations was presented.

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Section: Human Lungsmentioning

confidence: 99%

Saturated porous continua in the frame of hybrid description

Brazgina

Иванова

2016

Continuum Mech. Thermodyn.

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“…Flow of suspensions (particles) in complex flow structures occurs both in animate and inanimate systems [1], and is of interest in many fields of science and technology [2]. Examples include aerosol sampling devices [3], particle-, fibre-and membrane-based filtration technologies [2,4,5], but also micro-mixers technology for aerosol processing [6].…”

Section: Introductionmentioning

confidence: 99%

Accessing the Influence of Hess-Murray Law on Suspension Flow through Ramified Structures

Serrenho

Miguel

2013

DDF

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The present study focuses on fluid flow and particle transport in symmetric T-shaped structures formed by tubes with circular and square cross-section. The performances of optimized structures (i.e., structures designed based on constructal allometric laws for minimum flow resistance) and not optimized structures were studied. Flow resistance and particle penetration efficiency were studied both for laminar and turbulent flow regimes, and for micrometer and submicrometer particles. Optimized structures have been proven to perform better for fluid flow but they have a similar performance for particle transport.

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“…where J (s) is given by (7). Hence, for C > 0 the effect of including the capillary pressure, as in (49), is to diffuse the saturation front.…”

Section: Capillaritymentioning

confidence: 99%

“…measures the influence of capillarity on the flow, and the capillary pressure is given by (7). In the following examples the J-function fitting parameter is taken to be n = 2, as a representative value for a geophysical porous medium and to illustrate an example of the possible behaviour.…”

Section: Non-dimensionalizationmentioning

confidence: 99%

“…The infiltration of a fluid into a porous medium is an important process which occurs in many geophysical and industrial situations, including liquid infiltration into soils [1,2], heat exchangers [3,4] and filtration processes [5] as well as biological processes such as fluid flow in the lungs [6,7]. Generally, when such a fluid infiltrates the porous media, it displaces a second fluid that was occupying the void spaces.…”

Section: Introductionmentioning

confidence: 99%

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Saturation front evolution for liquid infiltration into a gas filled porous medium with counter-current flow

Hicks

Cooker

Matthews

2014

European Journal of Mechanics - B/Fluids

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a b s t r a c tThe infiltration of liquid into a gas saturated porous network is investigated. Particular attention is paid to the situation in which a pressure gradient in the porous medium drives a gas flow upwards, while a more dense liquid infiltrates down into the reservoir due to gravity. There are two flows in opposite directions. A model is proposed, based upon a compressible gas phase and an incompressible liquid phase. The volume fluxes in each phase are assumed to be governed by Darcy type flow laws, modified to include the permeability caused by both the solid matrix and the impeding of the gas flow by the liquid phase. Isothermal flows are examined in the absence of phase changes. The proposed model is an extension of the traditional Buckley-Leverett model and is used to consider a variety of flows, including carbon sequestration in a porous medium below the seabed and rainfall infiltration into a lava dome.

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Lungs as a Natural Porous Media: Architecture, Airflow Characteristics and Transport of Suspended Particles

Cited by 21 publications

References 35 publications

Saturated porous continua in the frame of hybrid description

Saturated porous continua in the frame of hybrid description

Accessing the Influence of Hess-Murray Law on Suspension Flow through Ramified Structures

Saturation front evolution for liquid infiltration into a gas filled porous medium with counter-current flow

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